If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
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Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
1/3
Step-by-step explanation:
probability= no. of objects/no. of total number
= 3/9
=1/3
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
µ = 68.8
For the alternative hypothesis,
µ ≠ 68.8
This is a two tailed test.
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 26,
Degrees of freedom, df = n - 1 = 26 - 1 = 25
t = (x - µ)/(s/√n)
Where
x = sample mean = 72.8
µ = population mean = 68.8
s = samples standard deviation = 2.5
t = (72.8 - 68.8)/(2.5/√26) = 8.16
We would determine the p value using the t test calculator. It becomes
p < 0.00001
Assuming a significance level of 0.05, then
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.
12, 4, 4/3 has a common ratio.
Answer:
101
Step-by-step explanation:
Find the area of the left triangle
11 -8 = 3
A = l*w = 15*3 = 45
Then find the area of the right triangle
A = l*w = 8*7 = 56
Add the areas together
45+56 =101
